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JEE Math Practice Question

The relation $R=\{(x, y): x, y \in \mathbb{Z}$ and $x+y$ is even $\}$ is:

  1. A.reflexive and transitive but not symmetric
  2. B.reflexive and symmetric but not transitive
  3. C.an equivalence relation
  4. D.symmetric and transitive but not reflexive

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